3D interest point detection based on geometric measures and sparse refinement

Three dimensional (3D) interest point detection plays a fundamental role in computer vision. In this paper, we introduce a new method for detecting 3D interest points of 3D mesh models based on geometric measures and sparse refinement (GMSR). The key point of our approach is to calculate the 3D saliency measure using two novel geometric measures, which are defined in multi-scale space to effectively distinguish 3D interest points from edges and flat areas. Those points with local maxima of 3D saliency measure are selected as the candidates of 3D interest points. Finally, we utilize an l0 norm based optimization method to refine the candidates of 3D interest points by constraining the number of 3D interest points. Numerical experiments show that the proposed GMSR based 3D interest point detector outperforms current six state-of-the-art methods for different kinds of 3D mesh models.